Add 72/35 and 42/16, Solve 2 2/35 + 2 10/16 as a fraction

Add 72/35 and 42/16

1^st number: 2 2/35, 2^nd number: 2 10/16

72/35 + 42/16 is 1311/280.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 35 × 16 = 560,
72/35 = 72 × 16/35 × 16 = 1152/560
Likewise, for the 2nd fraction, since 16 × 35 = 560,
42/16 = 42 × 35/16 × 35 = 1470/560
Add the two like fractions:
1152/560 + 1470/560 = 1152 + 1470/560 = 2622/560
2622/560 simplified gives 1311/280
So, 72/35 + 42/16 = 1311/280
In mixed form: 4191/280

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